What is the Greatest Common Factor of 75856 and 75867?

Greatest common factor (GCF) of 75856 and 75867 is 11.

GCF(75856,75867) = 11

We will now calculate the prime factors of 75856 and 75867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75856 and 75867.

How to find the GCF of 75856 and 75867?

We will first find the prime factorization of 75856 and 75867. After we will calculate the factors of 75856 and 75867 and find the biggest common factor number .

Step-1: Prime Factorization of 75856

Prime factors of 75856 are 2, 11, 431. Prime factorization of 75856 in exponential form is:

75856 = 2⁴ × 11¹ × 431¹

Step-2: Prime Factorization of 75867

Prime factors of 75867 are 3, 11, 19. Prime factorization of 75867 in exponential form is:

75867 = 3¹ × 11³ × 19¹

Step-3: Factors of 75856

List of positive integer factors of 75856 that divides 75856 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 431, 862, 1724, 3448, 4741, 6896, 9482, 18964, 37928

Step-4: Factors of 75867

List of positive integer factors of 75867 that divides 75856 without a remainder.

1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 1331, 2299, 3993, 6897, 25289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75856 and 75867. The biggest common factor number is the GCF number.
So the greatest common factor 75856 and 75867 is 11.

Also check out the Least Common Multiple of 75856 and 75867